Capacitors , (unknown)

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Capacitors

C_{1}=1.5\,\mu\text{F}

C_{2}

(unknown), and

C_{3}=4.0\,\mu\text{F}

are connected in series to an ideal

24\,\text{V}

battery. After the circuit reaches equilibrium, the potential difference across

C_{3}

is measured to be

6.0\,\text{V}

. (a) Determine the magnitude of the charge on each capacitor. (b) Using the result from part (a), calculate the value of the unknown capacitance

C_{2}

. (c) Compute the electric potential energy stored in capacitor

C_{2}

. (d) Verify that the algebraic sum of the energies stored in all three capacitors equals the total energy delivered by the battery.